"""Math utility functions for radio astronomy simulations."""


def gaussian_2d(x, y, amplitude, x0, y0, sigma_x, sigma_y):
    """
    2D Gaussian function.
    
    Args:
        x: X coordinates
        y: Y coordinates
        amplitude: Peak amplitude
        x0: X center
        y0: Y center
        sigma_x: X standard deviation
        sigma_y: Y standard deviation
    """
    pass


def blackbody_spectrum(frequency, temperature):
    """
    Blackbody spectrum.
    
    Args:
        frequency: Frequency array
        temperature: Temperature in Kelvin
    """
    pass


def calculate_beam_size(frequency, diameter):
    """
    Calculate telescope beam size.
    
    Args:
        frequency: Observation frequency
        diameter: Telescope diameter
    """
    pass